{"id":"https://openalex.org/W2782562097","doi":"https://doi.org/10.1109/allerton.2017.8262727","title":"On \u03b1-decodability and \u03b1-likelihood decoder","display_name":"On \u03b1-decodability and \u03b1-likelihood decoder","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2782562097","doi":"https://doi.org/10.1109/allerton.2017.8262727","mag":"2782562097"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2017.8262727","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262727","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100383868","display_name":"Jingbo Liu","orcid":"https://orcid.org/0000-0001-5637-5264"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jingbo Liu","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026048440","display_name":"Paul Cuff","orcid":"https://orcid.org/0000-0003-2936-9939"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Cuff","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103184697","display_name":"Sergio Verd\u00fa","orcid":"https://orcid.org/0000-0003-1254-9116"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sergio Verdu","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100383868"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":2.0068,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.87844194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"118","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6811895370483398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5722503662109375},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.523441731929779},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.44629156589508057},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.43771976232528687},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4330921769142151},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39030495285987854}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6811895370483398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5722503662109375},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.523441731929779},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.44629156589508057},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.43771976232528687},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4330921769142151},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39030495285987854}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2017.8262727","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262727","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W572933550","https://openalex.org/W1549664537","https://openalex.org/W1646187488","https://openalex.org/W1993176105","https://openalex.org/W1993944611","https://openalex.org/W2014031743","https://openalex.org/W2020347709","https://openalex.org/W2057148231","https://openalex.org/W2069969835","https://openalex.org/W2082592501","https://openalex.org/W2090248727","https://openalex.org/W2099111195","https://openalex.org/W2115827190","https://openalex.org/W2139352051","https://openalex.org/W2147686726","https://openalex.org/W2151414914","https://openalex.org/W2153348887","https://openalex.org/W2154193570","https://openalex.org/W2193827075","https://openalex.org/W2210387432","https://openalex.org/W2276299490","https://openalex.org/W2744192101","https://openalex.org/W3099199110","https://openalex.org/W3102928882","https://openalex.org/W3103841412","https://openalex.org/W3144969279","https://openalex.org/W3215061826","https://openalex.org/W4302366875","https://openalex.org/W6616314761","https://openalex.org/W6803771886"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W3203142394","https://openalex.org/W4302615923","https://openalex.org/W2542937328","https://openalex.org/W1974101135","https://openalex.org/W2351061015","https://openalex.org/W2351374656","https://openalex.org/W2117827073","https://openalex.org/W2158501538"],"abstract_inverted_index":{"Generalizing":[0],"the":[1,4,13,17,20,25,31,33,41,44,62,66,70,77,82,85,90,101,105,120,125,132,136,141,152,157,167,171,183,187,191],"maximum":[2,83],"and":[3,40,52,84,130,156,162,190],"average":[5,64,121],"error":[6,122,133,144,160,168],"criteria":[7],"for":[8,73],"channel":[9,45,154],"coding,":[10,161],"we":[11,87,117],"introduce":[12],"\u03b1-decodability,":[14],"defined":[15],"as":[16,30,69],"\u03b1-norm":[18],"of":[19,22,35,43,65,80,115,124,135,170],"probabilities":[21],"correctly":[23],"decoding":[24],"messages.":[26],"Several":[27],"aspects,":[28],"such":[29],"exponent,":[32],"existence":[34],"a":[36,95,113,148,180],"strong":[37],"Fano's":[38],"inequality,":[39],"achievability":[42],"capacity":[46],"by":[47],"random":[48,196],"coding":[49,155,197],"are":[50],"investigated,":[51],"it":[53],"is":[54,128],"revealed":[55],"that":[56,119,131],"\u03b1":[57,185],"=":[58],"0":[59],"(corresponding":[60],"to":[61,100,104,112,151],"geometric":[63],"probabilities)":[67],"emerges":[68],"critical":[71],"value":[72],"several":[74],"properties.":[75],"In":[76],"same":[78],"vein":[79],"interpolating":[81],"average,":[86],"also":[88,178],"revisit":[89],"a-likelihood":[91],"decoder,":[92],"which":[93],"outputs":[94],"message":[96],"with":[97,140,174],"probability":[98,123,134],"proportional":[99],"its":[102],"likelihood":[103,172,188],"power":[106],"\u03b1.":[107],"For":[108],"any":[109],"code,":[110],"up":[111],"factor":[114],"2,":[116],"show":[118],"1-likelihood":[126],"decoder":[127,138,173,189],"optimal,":[129],"0-likelihood":[137],"coincides":[139],"zero":[142,158],"undetected":[143,159],"probability.":[145],"This":[146],"provides":[147],"unified":[149],"approach":[150],"(conventional)":[153],"strengthens":[163],"previous":[164],"results":[165],"on":[166],"exponents":[169],"simpler":[175],"proofs.":[176],"We":[177],"establish":[179],"connection":[181],"between":[182],"parameter":[184,192],"in":[186,194],"\u03c1":[193],"Gallager's":[195],"exponent.":[198]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
